Question

For the function F defined by F(x)=x2−2x+4, find F(2b−1).

Answer 1

`f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\`

Answer 2

F(2b-1)=4b^2-8b+7

Explanation:

F(x)=x^2-2x+4

F(2b-1)=(2b-1)^2-2(2b-1)+4

F(2b-1)=4b^2-8b+7